Lid-driven cavity#

The lid-driven cavity flow is a incompressible viscous flow.

In 2-dimensions, it is usually cast as follows. The domain is set to be $\mathrm{\Omega }=[0,1{]}^2$ with four infinite no-slip solid walls. The media is still initially. From time $t=0$, the top wall, i.e. $y=1$, moves left with a constant speed, i.e. the lid speed, ${\mathit{u}|}_{\mathrm{lid}}={\left[\begin{array}{c}-1,0\end{array}\right]}^{\mathsf{T}}$, and drives the viscous flow. The simulation stops when the flow becomes steady.

For a phyem implementation of the normal dipole collision test case in Section 5.4 of [MEEVC, Zhang et al., JCP (2024)], click phyem_ldc.py.

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